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A Current Algebra for Some Gauge Theory Amplitudes

- V. Nair
- Physics
- 15 August 1988

Abstract The classical amplitude for scattering of two positive helicity and n −2 negative helicity (or the other way) gauge bosons is shown to be generated by a Wess-Zumino-Witten (WZW) model for N… Expand

Relativistic wave equation for anyons.

Construction of one-particle states as unitary representations of the Poincare algebra in 2+1 dimensions shows that an anyon has one polarization state. However, for nonzero spin manifestly linear… Expand

Quantum Field Theory: A Modern Perspective

- V. Nair
- Physics
- 9 March 2005

Results in Relativistic Quantum Mechanics.- The Construction of Fields.- Canonical Quantization.- Commutators and Propagators.- Interactions and the S-matrix.- The Electromagnetic Field.- Examples of… Expand

Anyon spin and the exotic central extension of the planar Galilei group 1 This work is supported in

Abstract We show that the second central extension of the Galilei group in (2+1) dimensions corresponds to spin, which can be any real number.

Quantum mechanics on the noncommutative plane and sphere

- V. Nair, A. Polychronakos
- Physics
- 19 November 2000

Abstract We consider the quantum mechanics of a particle on a noncommutative plane. The case of a charged particle in a magnetic field (the Landau problem) with a harmonic oscillator potential is… Expand

Quantum Hall effect in higher dimensions

- D. Karabali, V. Nair
- Physics
- 28 March 2002

Abstract Following recent work on the quantum Hall effect on S 4 , we solve the Landau problem on the complex projective spaces C P k and discuss quantum Hall states for such spaces. Unlike the case… Expand

Elements of Geometric Quantization and Applications to Fields and Fluids

- V. Nair
- Physics, Mathematics
- 20 June 2016

These lecture notes (from the Second Autumn School in High Energy Physics and Quantum Field Theory, Yerevan 2014) cover a number of topics related to geometric quantization. Most of the material is… Expand

Non perturbative anomalies in higher dimensions

- S. Elitzur, V. Nair
- Physics
- 3 September 1984

Abstract We study how nonperturbative anomalies can occur in dimensions higher than four and their implications on the consistency of the theory.

U(1) Chern-Simons theory and c=1 conformal blocks

Abstract The quantization of the U(1) Chern-Simons action in three dimensions is carried out in a coherent state representation. The wave functionals obtained are generating functionals for the… Expand

COHERENT STATE QUANTIZATION OF CHERN-SIMONS THEORY

Three-dimensional Chern-Simons gauge theories are quantized in a functional coherent state formalism. The connection with two-dimensional conformal field theory is found to emerge naturally. The… Expand

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